3. Combine the two state equations into a matrix differential equation of the

following form considering that the input signal is given by u(t) = Vin(t)

and the output signal is given by, y(t) = Vc (t). Complete the entries in the

matrices, in terms of the components R, L, and C:

[α11

a12]

[₂0]=[9₂1 922] [x₂]+[B₂] u(t)

[x₂ (t).

lazı

(t).

y(t) = [C11 C12]

[₁2]

[x₁ (t)

[x₂ (t)

+ [d₁₁] u(t)

2